%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : NUM854+1 : TPTP v9.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:57:27 PM UTC 2025 % Result : Theorem 7.15s 7.35s % Output : Proof 7.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM854+1 : TPTP v9.2.0. Released v4.1.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n025.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 07:10:08 EDT 2025 % 0.13/0.35 % CPUTime : % 7.15/7.35 SZS status Theorem for theBenchmark.p % 7.15/7.35 SZS output start Proof for theBenchmark.p % 7.15/7.35 Clause #0 (by assumption #[]): Eq (Not (greater (vmul vd508 vd511) (vmul vd509 vd511))) True % 7.15/7.35 Clause #2 (by assumption #[]): Eq (greater vd508 vd509) True % 7.15/7.35 Clause #8 (by assumption #[]): Eq (∀ (Vd456 Vd457 Vd458 : Iota), greater Vd457 Vd458 → greater (vmul Vd457 Vd456) (vmul Vd458 Vd456)) True % 7.15/7.35 Clause #65 (by clausification #[0]): Eq (greater (vmul vd508 vd511) (vmul vd509 vd511)) False % 7.15/7.35 Clause #185 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Vd457 Vd458 : Iota), greater Vd457 Vd458 → greater (vmul Vd457 a) (vmul Vd458 a)) True % 7.15/7.35 Clause #186 (by clausification #[185]): ∀ (a a_1 : Iota), Eq (∀ (Vd458 : Iota), greater a Vd458 → greater (vmul a a_1) (vmul Vd458 a_1)) True % 7.15/7.35 Clause #187 (by clausification #[186]): ∀ (a a_1 a_2 : Iota), Eq (greater a a_1 → greater (vmul a a_2) (vmul a_1 a_2)) True % 7.15/7.35 Clause #188 (by clausification #[187]): ∀ (a a_1 a_2 : Iota), Or (Eq (greater a a_1) False) (Eq (greater (vmul a a_2) (vmul a_1 a_2)) True) % 7.15/7.35 Clause #189 (by superposition #[188, 2]): ∀ (a : Iota), Or (Eq (greater (vmul vd508 a) (vmul vd509 a)) True) (Eq False True) % 7.15/7.35 Clause #3659 (by clausification #[189]): ∀ (a : Iota), Eq (greater (vmul vd508 a) (vmul vd509 a)) True % 7.15/7.35 Clause #3660 (by superposition #[3659, 65]): Eq True False % 7.15/7.35 Clause #3690 (by clausification #[3660]): False % 7.15/7.35 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------